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First Brocard Cevian Triangle

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FirstBrocardCevianTriangle

The first Brocard Cevian triangle is the Cevian triangle of the first Brocard point. It has area

Delta_1=(2a^2b^2c^2)/((a^2+b^2)(b^2+c^2)(c^2+a^2))Delta,

where Delta is the area of the reference triangle, which is the same as not only the second Brocard Cevian triangle, but also of the symmedial triangle.

See also

First Brocard Point, Second Brocard Cevian Triangle, Symmedial Triangle

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Cite this as:

Weisstein, Eric W. "First Brocard Cevian Triangle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FirstBrocardCevianTriangle.html

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